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Cognitive radio systems offer the opportunity to improve spectrum utilization while avoiding the interference to primary users. Secondary users must be aware of interference caused to primary users. Therefore cognitive radio network should take primary users into account and control their transmission power. This paper focuses on the coverage analysis of cognitive radio network and finds its coverage upper boundary. Based on cognitive network models, this study reveals several factors effecting cognitive network coverage and proposes possible ways to enlarge coverage area for secondary users with keeping the interference to primary users under the endurable threshold.